Sam and Ella were running in a race. Sam ran ⅞ of a mile and Ella ran 5/10 of a mile. At the end of the race they wanted to compare how far they ran. Ella said they could compare the fractions by comparing each fraction to ½. Show how Ella could compare 5/10 and ⅞ to ½ . Then explain who ran further and how you know.

Answers

Answer 1

Answer:

ELLA

Step-by-step explanation:

Given that :

Distance covered by Ella = 5/10

Distance covered by Sam = 7/8

Comparing each distance to 1/2

Ella = 5/ 10 = 1/2 ; 1/2 = 1/2 = 0.5

Sam = 7/8 = 0.875 ; comparing with 1/2

0.875 > 0.5

Given

Sam ran farther Than ELLA

Because 0.875 > 1/2

0.875 - 0. 5 = 0.375


Related Questions

What is the volume of the prisms below?
What equation would you use for the last picture?

Answers

Answer:

8) 131.118in^3

9) 18cm^3

Step-by-step explanation:

8) Volume of the prism = Length * Width * height

Volume of the prism = 4.1in * 8.2in * 3.9in

Volume of the prism = 131.118in^3

Hence the volume of soil that will fill the prism is 131.118in^3

9)  Volume of the triangular prism = Base Area * Height of prism

Base  Area = 1/2bh

Base  Area = 1/2 * 4 * 3

Base Area = 6cm^2

Height of the prism  = 3cm

Volume of the prism = 6cm^2 * 3cm

Volume of the prism = 18cm^3

The product of five times p and seven times q is

Answers

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

Answer:

The product of five t imes p and 7 times q is just:

5p(7q), which is 42pq

Let me know if this helps!

What is the measure of ZC? *

Answers

the answer is d) 70°
hope this helps!

Answer:

∠ C = 70°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles to obtain ∠ C , that is

∠ C = 180° - (70 + 40)° = 180° - 110° = 70°

A student earns an 80% on their science test. If she got 20 questions correct, how many total were on the test?

Answers

25 questions
Explanation: 20 divided by 25 is .8 which is 80%

Whats y=18x pls helppp

Answers

Linear Equations & Functions -

Basically, this equation is meant for functions and graphing functions.

[tex]y = 18 \times \: x[/tex]

x,y

2,36

5,90

You could also use this to find the slope:

y1-y2

--------

x1-x2

:

-54

-----

-3

=18

You could also graph it.

Copy the shape and fill in the missing angle. Sow the work. Thanks.

Answers

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so  71+"?" is 180. Simplify to find that "?" is 109.

Consider the sequence of numbers: , , 1StartFraction 3 Over 8 EndFraction, StartFraction 3 Over 4 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 7 Over 8 EndFraction. . ., 1 , 1, . . . Which statement is a description of the sequence? The sequence is recursive, where each term is StartFraction 1 Over 4 EndFraction greater than its preceding term. The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction.. The sequence is arithmetic, where each pair of terms has a constant difference of StartFraction 3 Over 4 EndFraction. The sequence is arithmetic and can be represented by the function f(n + 1) = f(n)f of n plus 1 equals f of n plus left parenthesis StartFraction 3 Over 8 EndFraction right-parenthesis..

Answers

Answer:

The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B

Step-by-step explanation:

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

Convert the mixed fraction number into a fraction number. Then we have

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

3/8, 3/4, 9/8, 3/2, 15/8, ........

The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,

d = 3/4 - 3/8

d = 6/8 - 3/8

d = (6 - 3)/8

d = 3 / 8

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Help me please!! ;okxjda.sdfajskndmf

Answers

Answer:

133

Step-by-step explanation:

2(_9)^2=162

3(-9)=-27

2(-9)^2 +3(-9)-2= 162-27-2=133

For the function f(x)
8 Vas - 8. find / -'(X).
9
+8
of-'() = (9)
O/(x) = 9(+8)
O!'(x) = (18)
Of(x) = 9(2+8)
8
Submit Answer

Answers

Given:

The function is

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

To find:

The inverse function [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 1: Putting f(x)=y, we get

[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]

Step 3: Isolate variable y.

[tex]9x=8\sqrt[3]{y}-8[/tex]

[tex]9x+8=8\sqrt[3]{y}[/tex]

[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]

Taking cube on both sides, we get

[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]

[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Therefore, the correct option is C.

I need Help!! Please Help me!! I will give Brainliest!!!
Try it! Find the percent of change. Round to the nearest percent if necessary.
1) 10 inches to 25 inches. 2) 57 people to 65 people.

Answers

Answer:

1.  150%                     2.  14%

Step-by-step explanation:

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Answers

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)


Please help !! I will give you brainliest!!

Explain each step you took to solve this question.

Given: Angle ^HMA is bisected by MT.
HT = MT
Find the measure of angle ^MAT.

Answers

Answer:

angle MAT=48

Step-by-step explanation:

angle H = 44

angle M = 88

angle A = 48

triangle HTM is an isosceles triangle which means its other two angles are congruent and to find those two measurements we do (180-92)/2=44MT bisects, meaning split equally in half, so we multiply 44 by 2 and now we have angle measures of H&M180-(H+M)= A

What is the slope of y = -4x – 3

Answers

Answer:

-4

Step-by-step explanation:

bc the equation is y=mx+b and m is y/x so -4

Find value of X

Thank you

Answers

Answer:

x = 98

Step-by-step explanation:

If angle D is the center then

x + 4 = 2 × (x - 47)

x + 4 = 2x - 94

4 + 94 = 2x - x

98 = x

John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an equation to determine the cost per tile, t.

Answers

Answer:

5x+40=100

Step-by-step explanation:

The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.

The total cost of a crate of floor tiles was $100 which had 5 boxes of floor tiles and each box contained 40-floor tiles. we have to determine the equation for the cost per tile, t.

What is the cost per tile?

Here, Cost per tile = $t

Per Box Contain 40 tiles.

So, Price for 1 box = [tex]\rm 40\times t[/tex]

and Total price of crate = [tex]\rm 40 \times t \times5[/tex]

Therefore,  [tex]\rm 40 \times t \times5=100[/tex]

[tex]\rm 200 \times t =100[/tex]

[tex]\rm t = \frac{1}{2}[/tex]

Hence, the cost per tile, t = 1/2.

The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.

Learn more about the linear equation here:

https://brainly.com/question/11897796

If the length of a rectangle is 16 cm and breadth is 7 cm, the area in square centimetres will be

Answers

Answer:

the answer is 112 mate hope u got ur answer

it would be 112 cm2 hope this helps

Which equation represents a line which is parallel to the line 4x-5y=30

Answers

this question is incomplete

which value of x is a solution of 8> (x-6)-2

Answers

Answer:

The answer is x < 16.

Step-by-step explanation:

1) Remove parentheses.

[tex]8 > x - 6 - 2[/tex]

2) Simplify x - 6 - 2 to x - 8.

[tex]8 > x - 8[/tex]

3) Add 8 to both sides.

[tex]8 + 8 > x[/tex]

4) Simplify 8 + 8 to 16.

[tex]16 > x[/tex]

4) Switch sides.

[tex]x < 16[/tex]

Therefor, the answer is x > 16.

The answer is x is equal to 16

what is the volume of a cylinder when the radius is 3 and height is 7

Answers

Answer:

63pi

Step-by-step explanation:

the formula for the volume of a cylinder is pi r^2 h

r=radius

h=height

3=r

7=h

pi((3)^2)7

63pi units^3

Hope that helps :)

Answer:

197.92

Step-by-step explanation:

To find the volume of a cylinder use V=πr2h.

Then fill in the equation with known information

V=π(3²)(7)

V= 197.92

If there are any units your answer will need them.

f(x)= 3x^2

g(x) =7x+4

f(g(4))=____

Answers

G(4)=7(4)+4
G(4)=28+4
G=32
F(32)= 3(32)^2
F= 9216
f(g(4))= 9216

Is 121,031 divisible by 3?

Answers

Yes but you get a decimal answer

What is the slope-intercept equation for this
standard form equation?

(Y-intercept needs to be positive)-

(Giving Brainliest for Correct Answer-)

6x - 3y = 12

Answers

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

6x - 3y = 12.Subtract 6 from both sides. -3y = -6x + 12Divide by -3 to isolate the y. y = 2x - 4.

I need some help on this

Answers

Answer:

Step-by-step explanation:

Point of intersections of the graph with x-axis are not clear.

Let these points are x = -a, -b and c

Therefore, function representing the graph will be,

f(x) = p(x + a)(x + b)(x - c)

Since, this graph crosses y-axis at (0, -6),

f(0) = p(0 + a)(0 + b)(0 - c) = -6

-pabc = -6

p = [tex]\frac{6}{abc}[/tex]

Therefore, equation of the given function will be,

f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]

solve -3-(-5)+(-2)

Answers

Answer is 0

Hope this helps

Answer:

[tex]0 \: is \: the \: answer[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex] - 3 + 5 - 2[/tex]

2) Simplify -3 + 5 to 2.

[tex]2 - 2[/tex]

3) Simplify.

[tex]0[/tex]

Therefor the answer is 0.

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and a height of 20 feet. Container B has a radius of 19 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.


To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

pleaseee help meee

Answers

9514 1404 393

Answer:

  65.6%

Step-by-step explanation:

The question is essentially asking the ratio of the volumes.

  Va = πr²h = π(15²)(20)

  Vb = πr²h = π(19²)(19)

The ratio of volumes is ...

  Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607

Container B will be about 65.6% full when container A is empty.

A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?

Answers

Answer:

3,840

Step-by-step explanation:

Answer:

The volume is 3840

Step-by-step explanation:

12 times 16 times 20. L x W x H

Find the area of a right triangle with a height of 8 1/2 feet and a base of 15 feet

Answers

Answer:

63.75

Step-by-step explanation:

The equation for finding the area of a triangle is 1/2b x h

b = base

h = height

b = 15

h = 8.5

15(1/2) x 8.5

7.5 x 8.5 = 63.75

Answer:

A = 63.75 ft^2, or 63 3/4 ft^2

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

With h = 8.5 ft and b = 15 ft, the area of the triangle in question is

A = (1/2)(8.5)(15)ft^2, or

A = 63.75 ft^2, or 63 3/4 ft^2

Please does anyone know the answer to this question??

Answers

9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

Which statement about these triangles is true?
Pre-Image
Image
12 + 3
12
5
5+3

Answers

Answer:

The answer will be B

Step-by-step explanation:

I think that the answer would be b

help me pls thank u <3

Answers

The correct answer is A
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